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Finding the Fourth Proportional to 1,700.32, 2,551.20 and 1,546.48

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Solution

The fourth proportional to 1,700.32, 2,551.20 and 1,546.48 is: 2,320.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700.32 : 2,551.20 = 1,546.48 : x
  2. Step 2: Convert to fraction form
    1,700.32/2,551.20 = 1,546.48/x
  3. Step 3: Cross multiply
    1,700.32x = 2,551.20 × 1,546.48
  4. Step 4: Simplify right side
    1,700.32x = 3,945,379.78
  5. Step 5: Solve for x
    x = 3,945,379.78/1,700.32
  6. Step 6: Final answer
    x = 2,320.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.